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Complexity Analysis of FDE Receivers for Massive MIMO Block Transmission Systems

Silva, A. P. S. ; Bento, P. ; Gomes, M. ; Dinis, R. ; Silva, V.

IET Communications Vol. 13, Nº 12, pp. 1762 - 1768, July, 2019.

ISSN (print): 1751-8628
ISSN (online): 1751-8636

Journal Impact Factor: 1,061 (in 2016)

Digital Object Identifier: 10.1049/iet-com.2018.5156

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Abstract
This paper considers massive multiple-input multiple-output (m-MIMO) schemes employing orthogonal frequency division multiplexing (OFDM) or single-carrier with frequency-domain equalisation (SC-FDE) modulation, concerning an uplink transmission.
We study the performance and complexity for both conventional zero forcing (ZF) and minimum mean squared error (MMSE)
(which require the inversion of channel matrix) and iterative frequency domain equalisation (FDE) receivers based on equal gain
combining (EGC) and maximum ratio combining (MRC) concepts, that do not require matrix inversions.
It is shown that, although matrix inversions are generally the more complex operations for relatively balanced systems (i.e., with
similar numbers of transmit and receive antennas), this is not generally true for systems where the channel matrix is "very tall"
(i.e., much more receive than transmit antennas), at least in terms of the number of multiplications and sums. This means that
the advantage on a reduced complexity of MRC/EGC-based equalisers with respect to ZF/MMSE is, in fact, limited. However, the
performance advantages combined with the possibility of parallel receiver implementations, make those techniques particularly
interesting for m-MIMO schemes, either employing OFDM or SC-FDE modulations.